Chi Square Goodness of Fit Test 4. Suppose an educational television station has

Question

Chi Square Goodness of Fit Test 4. Suppose an educational television station has broadcast a series of programs on the physiological and psychological effects of smoking marijuana. Now that the series is finished, the station wants to see whether the citizens within the viewing area have changed their minds about how the possession of marijuana should be considered legally. Before the series was shown, it was determined that 7% of the citizens favored legalization, 18% favored decriminalization, 65% favored the existing law (an offender could be fined or imprisoned) and 10% had no opinion. A summary of the opinions (after the series was shown) of a random sample of 500 people in the viewing area is given below Test to see whether these data indicate that the distribution of opinions differ significantly from the proportions that existed before the educational series was aired The Effects of Cocaine in the Womb Law Birth Observed Opinion Favored legalization Favored decriminalization Favored existing laws No opinion Total brth weige to 3.66 Tmes that of a non-use 39 336 26 500 nswers: ??: Chi-Square statistic: df: Exact P value for Chi Square statistic Conclusion relative to the hypothesis: Chi-Square Contingency Test

Explanation / Answer

1.

H0: The distribution of opinions is not differ significantly from the proportions that existed before the educational series was aired.
H1: The distribution of opinions is differ significantly from the proportions that existed before the educational series was aired.

From the given data

Test Statistic, X^2: 13.2495

Degrees of freedom: 3

P-Value: 0.0041

Here P-value < alpha 0.05 so we reject H0

Thus we conclude that The distribution of opinions is differ significantly from the proportions that existed before the educational series was aired.

b)

H0: The marital status of men who have been or are currently married is not dependent on religious affiliation.
H1: The marital status of men who have been or are currently married is dependent on religious affiliation.

From the given data

The Chisquare Contribution values are

Test Statistic, X^2: 4.1370

Degrees of freedom: 3

P-Value: 0.2470

Here P-vaue > alpha 0.05 so we accept H0

Thus we conclude that The marital status of men who have been or are currently married is not dependent on religious affiliation.

Observed Expected Opinion Freq (Oi) Prob Freq Ei (Oi-Ei)^2 /Ei Legalization 39 0.07 35 0.457142857 Decriminallzation 99 0.18 90 0.9 Favored 336 0.65 325 0.372307692 No Opinion 26 0.1 50 11.52 Total: 500 1 500 13.24945055

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